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<a href="classEigen_1_1SparseSelfAdjointView-members.html">List of all members</a> &#124;
<a href="#pub-methods">Public Member Functions</a>  </div>
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<div class="title">Eigen::SparseSelfAdjointView&lt; MatrixType, Mode_ &gt; Class Template Reference<div class="ingroups"><a class="el" href="group__Sparse__chapter.html">Sparse linear algebra</a> &raquo; <a class="el" href="group__Sparse__Reference.html">Reference</a> &raquo; <a class="el" href="group__SparseCore__Module.html">SparseCore module</a></div></div>  </div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename MatrixType, unsigned int Mode_&gt;<br />
class Eigen::SparseSelfAdjointView&lt; MatrixType, Mode_ &gt;</h3>

<p>Pseudo expression to manipulate a triangular sparse matrix as a selfadjoint matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">MatrixType</td><td>the type of the dense matrix storing the coefficients </td></tr>
    <tr><td class="paramname">Mode</td><td>can be either <code><a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdaf581029282d421eee5aae14238c6f749">Lower</a></code> or <code><a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdafca2ccebb604f171656deb53e8c083c1">Upper</a></code> </td></tr>
  </table>
  </dd>
</dl>
<p>This class is an expression of a sefladjoint matrix from a triangular part of a matrix with given dense storage of the coefficients. It is the return type of MatrixBase::selfadjointView() and most of the time this is the only way that it is used.</p>
<dl class="section see"><dt>See also</dt><dd>SparseMatrixBase::selfadjointView() </dd></dl>
</div><div id="dynsection-0" onclick="return toggleVisibility(this)" class="dynheader closed" style="cursor:pointer;">
  <img id="dynsection-0-trigger" src="closed.png" alt="+"/> Inheritance diagram for Eigen::SparseSelfAdjointView&lt; MatrixType, Mode_ &gt;:</div>
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<div class="center"><img src="classEigen_1_1SparseSelfAdjointView__inherit__graph.png" border="0" usemap="#aEigen_1_1SparseSelfAdjointView_3_01MatrixType_00_01Mode___01_4_inherit__map" alt="Inheritance graph"/></div>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:af5745a6fe741b0a2091c02fa0779065d"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr class="memitem:af5745a6fe741b0a2091c02fa0779065d"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Product.html">Product</a>&lt; <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>, OtherDerived &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#af5745a6fe741b0a2091c02fa0779065d">operator*</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; OtherDerived &gt; &amp;rhs) const</td></tr>
<tr class="separator:af5745a6fe741b0a2091c02fa0779065d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a21a771d5074900136c92f62ab179bc5e"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr class="memitem:a21a771d5074900136c92f62ab179bc5e"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Product.html">Product</a>&lt; <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>, OtherDerived &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#a21a771d5074900136c92f62ab179bc5e">operator*</a> (const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>&lt; OtherDerived &gt; &amp;rhs) const</td></tr>
<tr class="separator:a21a771d5074900136c92f62ab179bc5e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a843bdc3844b4b9f5bc2daa84520d7bb7"><td class="memTemplParams" colspan="2">template&lt;typename DerivedU &gt; </td></tr>
<tr class="memitem:a843bdc3844b4b9f5bc2daa84520d7bb7"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a> &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#a843bdc3844b4b9f5bc2daa84520d7bb7">rankUpdate</a> (const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>&lt; DerivedU &gt; &amp;u, const Scalar &amp;alpha=Scalar(1))</td></tr>
<tr class="separator:a843bdc3844b4b9f5bc2daa84520d7bb7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac37727df4143754952272c64d081925f"><td class="memItemLeft" align="right" valign="top">SparseSymmetricPermutationProduct&lt; MatrixTypeNested_, Mode &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html#ac37727df4143754952272c64d081925f">twistedBy</a> (const <a class="el" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix</a>&lt; <a class="el" href="namespaceEigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>, <a class="el" href="namespaceEigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>, StorageIndex &gt; &amp;perm) const</td></tr>
<tr class="separator:ac37727df4143754952272c64d081925f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="inherit_header pub_methods_structEigen_1_1EigenBase"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_structEigen_1_1EigenBase')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="structEigen_1_1EigenBase.html">Eigen::EigenBase&lt; SparseSelfAdjointView&lt; MatrixType, Mode_ &gt; &gt;</a></td></tr>
<tr class="memitem:a2d768a9877f5f69f49432d447b552bfe inherit pub_methods_structEigen_1_1EigenBase"><td class="memItemLeft" align="right" valign="top">EIGEN_CONSTEXPR <a class="el" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#a2d768a9877f5f69f49432d447b552bfe">cols</a> () const EIGEN_NOEXCEPT</td></tr>
<tr class="separator:a2d768a9877f5f69f49432d447b552bfe inherit pub_methods_structEigen_1_1EigenBase"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1fbabe7f12bcbfba3b9a448b1f5e46fa inherit pub_methods_structEigen_1_1EigenBase"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>&lt; MatrixType, Mode_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#a1fbabe7f12bcbfba3b9a448b1f5e46fa">derived</a> ()</td></tr>
<tr class="separator:a1fbabe7f12bcbfba3b9a448b1f5e46fa inherit pub_methods_structEigen_1_1EigenBase"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afd4f3f1c57b7594b96a7e30f2974ea2e inherit pub_methods_structEigen_1_1EigenBase"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>&lt; MatrixType, Mode_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#afd4f3f1c57b7594b96a7e30f2974ea2e">derived</a> () const</td></tr>
<tr class="separator:afd4f3f1c57b7594b96a7e30f2974ea2e inherit pub_methods_structEigen_1_1EigenBase"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac22eb0695d00edd7d4a3b2d0a98b81c2 inherit pub_methods_structEigen_1_1EigenBase"><td class="memItemLeft" align="right" valign="top">EIGEN_CONSTEXPR <a class="el" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#ac22eb0695d00edd7d4a3b2d0a98b81c2">rows</a> () const EIGEN_NOEXCEPT</td></tr>
<tr class="separator:ac22eb0695d00edd7d4a3b2d0a98b81c2 inherit pub_methods_structEigen_1_1EigenBase"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae106171b6fefd3f7af108a8283de36c9 inherit pub_methods_structEigen_1_1EigenBase"><td class="memItemLeft" align="right" valign="top">EIGEN_CONSTEXPR <a class="el" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#ae106171b6fefd3f7af108a8283de36c9">size</a> () const EIGEN_NOEXCEPT</td></tr>
<tr class="separator:ae106171b6fefd3f7af108a8283de36c9 inherit pub_methods_structEigen_1_1EigenBase"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
Additional Inherited Members</h2></td></tr>
<tr class="inherit_header pub_types_structEigen_1_1EigenBase"><td colspan="2" onclick="javascript:toggleInherit('pub_types_structEigen_1_1EigenBase')"><img src="closed.png" alt="-"/>&#160;Public Types inherited from <a class="el" href="structEigen_1_1EigenBase.html">Eigen::EigenBase&lt; SparseSelfAdjointView&lt; MatrixType, Mode_ &gt; &gt;</a></td></tr>
<tr class="memitem:a554f30542cc2316add4b1ea0a492ff02 inherit pub_types_structEigen_1_1EigenBase"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a></td></tr>
<tr class="memdesc:a554f30542cc2316add4b1ea0a492ff02 inherit pub_types_structEigen_1_1EigenBase"><td class="mdescLeft">&#160;</td><td class="mdescRight">The interface type of indices.  <a href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">More...</a><br /></td></tr>
<tr class="separator:a554f30542cc2316add4b1ea0a492ff02 inherit pub_types_structEigen_1_1EigenBase"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
<a id="af5745a6fe741b0a2091c02fa0779065d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af5745a6fe741b0a2091c02fa0779065d">&#9670;&nbsp;</a></span>operator*() <span class="overload">[1/2]</span></h2>

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<div class="memtemplate">
template&lt;typename MatrixType , unsigned int Mode_&gt; </div>
<div class="memtemplate">
template&lt;typename OtherDerived &gt; </div>
<table class="mlabels">
  <tr>
  <td class="mlabels-left">
      <table class="memname">
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          <td class="memname"><a class="el" href="classEigen_1_1Product.html">Product</a>&lt;<a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>,OtherDerived&gt; <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">Eigen::SparseSelfAdjointView</a>&lt; MatrixType, Mode_ &gt;::operator* </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; OtherDerived &gt; &amp;&#160;</td>
          <td class="paramname"><em>rhs</em></td><td>)</td>
          <td> const</td>
        </tr>
      </table>
  </td>
  <td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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<p>Efficient sparse self-adjoint matrix times dense vector/matrix product </p>

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<a id="a21a771d5074900136c92f62ab179bc5e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a21a771d5074900136c92f62ab179bc5e">&#9670;&nbsp;</a></span>operator*() <span class="overload">[2/2]</span></h2>

<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename MatrixType , unsigned int Mode_&gt; </div>
<div class="memtemplate">
template&lt;typename OtherDerived &gt; </div>
<table class="mlabels">
  <tr>
  <td class="mlabels-left">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="classEigen_1_1Product.html">Product</a>&lt;<a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>, OtherDerived&gt; <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">Eigen::SparseSelfAdjointView</a>&lt; MatrixType, Mode_ &gt;::operator* </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>&lt; OtherDerived &gt; &amp;&#160;</td>
          <td class="paramname"><em>rhs</em></td><td>)</td>
          <td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the matrix product between a sparse self-adjoint matrix <code>*this</code> and a sparse matrix <em>rhs</em>.</dd></dl>
<p>Note that there is no algorithmic advantage of performing such a product compared to a general sparse-sparse matrix product. Indeed, the SparseSelfadjointView operand is first copied into a temporary <a class="el" href="classEigen_1_1SparseMatrix.html" title="A versatible sparse matrix representation.">SparseMatrix</a> before computing the product. </p>

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<a id="a843bdc3844b4b9f5bc2daa84520d7bb7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a843bdc3844b4b9f5bc2daa84520d7bb7">&#9670;&nbsp;</a></span>rankUpdate()</h2>

<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename MatrixType , unsigned int Mode_&gt; </div>
<div class="memtemplate">
template&lt;typename DerivedU &gt; </div>
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView</a>&amp; <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">Eigen::SparseSelfAdjointView</a>&lt; MatrixType, Mode_ &gt;::rankUpdate </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>&lt; DerivedU &gt; &amp;&#160;</td>
          <td class="paramname"><em>u</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Scalar &amp;&#160;</td>
          <td class="paramname"><em>alpha</em> = <code>Scalar(1)</code>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
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<p>Perform a symmetric rank K update of the selfadjoint matrix <code>*this</code>: \( this = this + \alpha ( u u^* ) \) where <em>u</em> is a vector or matrix.</p>
<dl class="section return"><dt>Returns</dt><dd>a reference to <code>*this</code> </dd></dl>
<p>To perform \( this = this + \alpha ( u^* u ) \) you can simply call this function with u.adjoint(). </p>

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<a id="ac37727df4143754952272c64d081925f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac37727df4143754952272c64d081925f">&#9670;&nbsp;</a></span>twistedBy()</h2>

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<div class="memtemplate">
template&lt;typename MatrixType , unsigned int Mode_&gt; </div>
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          <td class="memname">SparseSymmetricPermutationProduct&lt;MatrixTypeNested_,Mode&gt; <a class="el" href="classEigen_1_1SparseSelfAdjointView.html">Eigen::SparseSelfAdjointView</a>&lt; MatrixType, Mode_ &gt;::twistedBy </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix</a>&lt; <a class="el" href="namespaceEigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>, <a class="el" href="namespaceEigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>, StorageIndex &gt; &amp;&#160;</td>
          <td class="paramname"><em>perm</em></td><td>)</td>
          <td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>an expression of P H P^-1 </dd></dl>

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